...
Top-fuel
...
dragsters
...
like
...
the
...
one
...
shown
...
above
...
accelerate
...
from
...
rest
...
at
...
a
...
tremendous
...
rate.
...
They
...
race
...
on
...
a
...
straight
...
1/4
...
mile
...
long
...
track.
...
From
...
a
...
standing
...
start,
...
they
...
complete
...
the
...
quarter
...
mile
...
in
...
about
...
4.5
...
seconds
...
and
...
reach
...
a
...
speed
...
of
...
about
...
330
...
mph
...
by
...
the
...
finish
...
line.
...
Part
...
A
...
Show
...
that
...
the
...
statistics
...
given
...
in
...
the
...
problem
...
introduction
...
are
...
inconsistent
...
at
...
the
...
10%
...
level
...
with
...
the
...
assumption
...
that
...
the
...
dragster
...
produces
...
constant
...
acceleration
...
as
...
it
...
moves
...
down
...
the
...
track.
...
System:
...
Dragster
...
as
...
...
...
.
...
Interactions:
...
External
...
influence
...
from
...
the
...
ground
...
(friction)
...
assumed
...
to
...
produce
...
constant
...
acceleration.
...
Model:
...
...
...
...
...
...
.
...
Approach:
...
We
...
are
...
asked
...
to
...
prove
...
that
...
the
...
model
...
we
...
are
...
examining
...
does
...
not
...
fit
...
the
...
data.
...
To
...
do
...
so,
...
we
...
look
...
for
...
a
...
contradiction.
...
In
...
this
...
case,
...
we
...
have
...
several
...
ways
...
to
...
find
...
the
...
acceleration,
...
since
...
we
...
have
...
a
...
large
...
number
...
of
...
givens.
...
Choosing
...
our
...
coordinates
...
such
...
that
...
the
...
race
...
begins
...
at
...
x
...
i
...
=
...
0
...
and
...
proceeds
...
in
...
the
...
positive
...
x
...
direction,
...
we
...
have:
| Panel | |||
|---|---|---|---|
| |||
=Givens}
|